Can a second network take as input the weights of a first network and help training the first network?
That is similar to a chicken-and-egg problem; If the second network could figure out the direction and learn faster, why couldn't the first network do that too and learn even faster. 

However, I would recommend looking up Actor Critic Methods. Here there are two networks but one (the critic) evaluates the other (the actor) to head it in the right direction.